# Ch 23: Well-Known Equations in Algebra Lesson Plans

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### About This Chapter

## Weekly Curriculum

Below is a sample breakdown of the Well-Known Equations chapter into a 5-day school week. Based on the pace of your course, you may need to adapt the lesson plan to fit your needs.

Day | Topics | Key Terms and Concepts Covered |
---|---|---|

Monday | Theory of relativity; Pythagorean theorem | Special theory of relativity, speed of light and mass-energy equivalence equation (E=mc^2); Right triangle and hypotenuse |

Tuesday | The value of e; Diameter and circumference related with pi | Euler's number, irrational number, natural logarithm and circumference compounding; Circumference formula (c=pi*d) and parts of a circle |

Wednesday | Isaac Newton's formula for the force of gravity; Euler's identity | Law of universal gravitation, force of attraction and universal gravitational constant; Euler's formula, cosine and sine |

Thursday | Fermat's last theorem; Calculating monthly loan payments | Pythagorean theorem and Andrew Wiles' proof; Loan payment amount formula |

Friday | Absolute-value inequality; The quadratic formula | Absolute value and inequalities; Quadratic equations and standard form |

### 1. Theory of Relativity: Definition & Example

Watch this video lesson, and you will learn about the theory of special relativity and how it applies to you. Learn how you can use one of the most famous equations from this theory to calculate the power inside just one tiny object.

### 2. Pythagorean Theorem: Definition & Example

Learn what the Pythagorean Theorem says about a right triangle and the relationships of its three sides to each other by watching this video lesson. Also learn how you can use this to your advantage when solving problems.

### 3. The Value of e: Definition & Example

After watching this video lesson, you will learn that the mathematical constant e has a name. You will also learn how it is used in mathematics along with what characteristics it has.

### 4. Diameter and Circumference Related with Pi

After watching this video, you will be able to tell others how the number pi is related to a circle's diameter and circumference. And using your newfound knowledge, you will be able to calculate the circumference or diameter of a circle.

### 5. Isaac Newton's Formula for the Force of Gravity: Definition & Example

Watch this video lesson and you will see how you can calculate the force of attraction between two objects. Learn why our planets don't spin themselves out of orbit around the sun.

### 6. Euler's Identity: Definition & Example

Watch this video lesson to learn about Euler's Identity and why it is considered a mathematical jewel. Find out about the person who came up with it and also see an example of it in use.

### 7. Fermat's Last Theorem: Definition & Example

Considered a mathematical mystery for hundreds of years, watch this video lesson to learn what Fermat's Last Theorem tells us and why mathematicians struggled for years to prove it true.

### 8. Calculating Monthly Loan Payments

Watch this video lesson and learn how you can calculate your monthly payment when you are thinking of purchasing a car. Okay, you can also use this formula whenever you are getting a loan!

### 9. The Absolute-Value Inequality: Definition & Example

After watching this video lesson, you will be able to solve absolute value inequalities. Learn how you can easily set up your problem to successfully solve your problem each and every time.

### 10. The Quadratic Formula: Definition & Example

Watch this video lesson to learn how you can use the quadratic formula to solve certain types of problems. Learn what kinds of equations you can solve using this formula as well as how easy it is to use this formula.

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### Other Chapters

Other chapters within the Algebra I Curriculum Resource & Lesson Plans course

- Basic Arithmetic in Algebra Lesson Plans
- Decimals & Fractions in Algebra Lesson Plans
- Percent Notation in Algebra Lesson Plans
- Real Numbers in Algebra Lesson Plans
- Exponents & Exponential Expressions in Algebra Lesson Plans
- Radical Expressions in Algebra Lesson Plans
- Algebraic Expressions & Equations Lesson Plans
- Properties of Functions in Algebra Lesson Plans
- Matrices & Absolute Value in Algebra Lesson Plans
- Working with Inequalities in Algebra Lesson Plans
- Properties of Exponents in Algebra Lesson Plans
- Complex & Imaginary Numbers in Algebra Lesson Plans
- Algebraic Distribution Lesson Plans
- Linear Equations in Algebra Lesson Plans
- Factoring in Algebra Lesson Plans
- Quadratic Equations in Algebra Lesson Plans
- Polynomial Functions in Algebra Lesson Plans
- Rational Expressions in Algebra Lesson Plans
- Cubic Equations in Algebra Lesson Plans
- Measurement & Geometry in Algebra Lesson Plans
- Lesson Plans for Calculations, Ratios, Percent & Proportions
- Data, Statistics, & Probability Lesson Plans